Problem 7:   An audio engineer takes decibel readings at distances of r1 = 11 m and r2 = 25 m from a concert stage speaker during a sound check. When he is r1 from the speaker, the engineer registers a decibel level of β1 = 103 dB on his loudness meter. Randomized Variables r1 = 11 m r2 = 25 m β1 = 103 dB Part (a)  What is the intensity of the sound, I1, in watts per square meter, that is measured by the loudness meter when the engineer is a distance of r1 from the speaker?  Part (b)  How much power P, in watts, is coming from the speaker during the sound check at distance r1?  Part (c)  Assuming that the speaker output does not change between the two measurements at r1 and r2, what sound intensity level β2, in decibels, will the loudness meter report when the engineer is at a distance r2 from the speaker?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Superposition And Standing Waves
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Problem 7:   An audio engineer takes decibel readings at distances of r1 = 11 m and r2 = 25 m from a concert stage speaker during a sound check. When he is r1 from the speaker, the engineer registers a decibel level of β1 = 103 dB on his loudness meter.

Randomized Variables

r1 = 11 m
r2 = 25 m
β1 = 103 dB
Part (a)  What is the intensity of the sound, I1, in watts per square meter, that is measured by the loudness meter when the engineer is a distance of r1 from the speaker? 

Part (b)  How much power P, in watts, is coming from the speaker during the sound check at distance r1


Part (c)  Assuming that the speaker output does not change between the two measurements at r1 and r2, what sound intensity level β2, in decibels, will the loudness meter report when the engineer is at a distance r2 from the speaker?  

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